Viruses and fullerenes – symmetry as a common thread?

DOI10.1107/S2053273313034220zbMath1358.92106arXiv1402.4393WikidataQ42235130 ScholiaQ42235130MaRDI QIDQ2808912

Jess Wardman, T. Keef, Pierre-Philippe Dechant, Reidun Twarock

Publication date: 27 May 2016

Published in: Acta Crystallographica Section A Foundations and Advances (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4393

zbMATH Keywords

symmetryCoxeter groupsaffine extensionsfullerenesquasicrystalsvirusescarbon onions

Mathematics Subject Classification ID

Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10)

Related Items (5)

The quantum harmonic oscillator with icosahedral symmetry and some explicit wavefunctions ⋮ A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world ⋮ Comparing the constructions of Goldberg, Fuller, Caspar, Klug and Coxeter, and a general approach to local symmetry-preserving operations ⋮ Orbits of crystallographic embedding of non-crystallographic groups and applications to virology ⋮ A Clifford algebraic framework for Coxeter group theoretic computations.

Cites Work

• A crystallographic approach to structural transitions in icosahedral viruses
• Affine extensions of the icosahedral group with applications to the three-dimensional organisation of simple viruses
• Novel Kac–Moody-type affine extensions of non-crystallographic Coxeter groups
• Affine extension of noncrystallographic Coxeter groups and quasicrystals
• Mathematical virology: a novel approach to the structure and assembly of viruses
• C₇₀, C₈₀, C₉₀and carbon nanotubes by breaking of the icosahedral symmetry of C₆₀
• Affine extensions of non-crystallographic Coxeter groups induced by projection
• The Architecture of Viral Capsids Based on Tiling Theory

This page was built for publication: Viruses and fullerenes – symmetry as a common thread?